JEE Main 2018 (Online) 15th April Evening Slot | Motion in a Plane Question 64 | Physics

A man in a car at location Q on a straight highway is moving with speed $$\upsilon $$. He decides to reach a point P in a field at a distance d from the highway (point M) as shown in the figure. Speed of the car in the field is half to that on the highway. What should be the distance RM, so that the time taken to reach P is minimum ?

JEE Main 2018 (Online) 15th April Evening Slot Physics - Motion in a Plane Question 64 English

JEE Main 2018 (Online) 15th April Evening Slot Physics - Motion in a Plane Question 64 English

$${d \over {\sqrt 2 }}$$

$${d \over 2}$$

$${d \over {\sqrt 3 }}$$

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

A projectile is given an initial velocity of $$\left( {\widehat i + 2\widehat j} \right)$$ m/s, where $${\widehat i}$$ is along the ground and $${\widehat j}$$ is along the vertical. If g = 10 m/s², the equation of its trajectory is:

y = x - 5x²

y = 2x - 5x²

4y = 2x - 5x²

4y = 2x - 25x²

AIEEE 2012

MCQ (Single Correct Answer)

-1

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be

$$20\sqrt 2 $$ m

10 m

$$10\sqrt 2 $$ m

20 m

AIEEE 2011

MCQ (Single Correct Answer)

-1

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v, the total area around the fountain that gets wet is :

$$\pi {{{v^4}} \over {{g^2}}}$$

$${\pi \over 2}{{{v^4}} \over {{g^2}}}$$

$$\pi {{{v^2}} \over {{g^2}}}$$

$$\pi {{{v^2}} \over g}$$

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